12672582566868 has 240 divisors, whose sum is σ = 39094580625408. Its totient is φ = 3502868328000.

The previous prime is 12672582566851. The next prime is 12672582566911. The reversal of 12672582566868 is 86866528527621.

12672582566868 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 2 + 58 + 2 + 566 + 8 + 6 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12672582566796 and 12672582566805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 245419413 + ... + 245471043.

Almost surely, 2^{12672582566868} is an apocalyptic number.

12672582566868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12672582566868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19547290312704).

12672582566868 is an abundant number, since it is smaller than the sum of its proper divisors (26421998058540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12672582566868 is a wasteful number, since it uses less digits than its factorization.

12672582566868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55176 (or 55165 counting only the distinct ones).

The product of its digits is 928972800, while the sum is 72.

The spelling of 12672582566868 in words is "twelve trillion, six hundred seventy-two billion, five hundred eighty-two million, five hundred sixty-six thousand, eight hundred sixty-eight".